Apple CEO Tim Cook and activist investor Carl Icahn are planning to meet next week, according to a new report.

CNBC's David Faber reported on Thursday that Cook and Icahn will hold a meeting to discuss Apple's share buyback program on Monday. Faber didn't cite his source nor did he say what time the meeting will take place.

The extent to which Apple buys back shares is important to Icahn. The more shares a company buys back relative to its total outstanding shares, the more the move can affect a stock price. In this case, it would mean that Apple's shares would rise as the total stock supply falls and demand continues to stay strong. Icahn would like to see more shares bought back to push the stock price even higher.

For its part, Apple has said that its buyback level is appropriate and has no plans to increase its investment in shares.